GENERALIZED DERIVATIONS IN PRIME RINGS AND NONCOMMUTATIVE BANACH ALGEBRAS

DOI10.4134/BKMS.2008.45.4.621zbMath1168.16020OpenAlexW2083792192MaRDI QIDQ3625957

Vincenzo De Filippis

Publication date: 22 May 2009

Published in: Bulletin of the Korean Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4134/bkms.2008.45.4.621

zbMATH Keywords

commutativity theoremsderivationsprime ringsdifferential identitiesnoncommutative Banach algebras

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Commutators, derivations, elementary operators, etc. (47B47) General theory of topological algebras (46H05) Derivations, actions of Lie algebras (16W25) Center, normalizer (invariant elements) (associative rings and algebras) (16U70)

Related Items (15)

On commutativity of rings with generalized derivations. ⋮ On prime and semiprime rings with generalized derivations and non-commutative Banach algebras ⋮ Generalized derivations on (semi-)prime rings and noncommutative Banach algebras. ⋮ Generalized skew-derivations acting on Lie ideals with central values in prime rings ⋮ Engel type identities with generalized derivations in prime rings ⋮ Generalized derivations on some convolution algebras ⋮ Generalized derivations with power values in rings and Banach algebras. ⋮ Banach algebra with generalized derivations ⋮ Generalized Derivations of Tensor Products of Algebras ⋮ Generalized Derivations on Rings and Banach Algebras ⋮ Unnamed Item ⋮ Generalized Jordan derivations on semiprime rings and its applications in range inclusion problems. ⋮ On Lie ideals with generalized derivations and non-commutative Banach algebras ⋮ On commutativity of semiprime Banach algebras ⋮ Generalized Derivations of Rings and Banach Algebras

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